[en] By using the Borel transform technique we calculate analytically the muon anomaly from the mass-dependent n-bubble diagram in the limit where the mass ratio m/sub m//m/sub e/ is large. For large n the sign oscillates, in contrast with the correct anomaly. The analysis shows that the validity of expanding in Lequivalentln(m/sub m//m/sub e/) is strongly dependent on the order N = 2n+2, in which we calculate